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Finding the Third Proportional to 23,231 and 34,899

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Solution

The third proportional to 23,231 and 34,899 is: 52,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231 : 34,899 = 34,899 : x
  2. Step 2: Convert to fraction form
    23,231/34,899 = 34,899/x
  3. Step 3: Cross multiply
    23,231x = 34,899 × 34,899
  4. Step 4: Simplify right side
    23,231x = 1,217,940,201
  5. Step 5: Solve for x
    x = 1,217,940,201/23,231
  6. Step 6: Final answer
    x = 52,427.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.